40/66,66/64,18/67,4,0.48,7% Order Fractions from Least to Greatest
40/66,66/64,18/67,4,0.48,7% determine the order of fractions from least to greatest by using our free online Ordering Fractions Calculator & attain the result in no time.
Find the Order of 40/66,66/64,18/67,4,0.48,7% from Least to Greatest
Convert 0.48 decimal to fraction
Given Decimal is 0.48.
The number of decimals after the point are 2.
The Decimal is divided with 100.
The Fraction can be written as,
= 048/100
= 12/25
The given decimal 0.48 in fraction form is 12/25.
Convert 7% to fraction i.e. 7/100
Given Input Value = 7%
Place the Percentage Value at the top over 100.
= 7/100
Therefore, 7% in Fraction is 7/100.
The given inputs are 40/66,66/64,18/67,4,0.48,7%
After coverting each input to fraction format we get 40/66,66/64,18/67,4/1,12 / 25,7/100
Separate the denominators 66,64,67,1,25,100
Calculate the LCM of 66,64,67,1,25,100 i.e. 3537600
Arrange the Inputs 66,64,67,1,25,100 in a horizontal line separated by commas and divide them with a prime number. Note the quotients in the next row and divide with quotients with prime numbers again. Continue the process until you have all co primes in the last.
| 2 | 66, 64, 67, 1, 25, 100 |
| 2 | 33, 32, 67, 1, 25, 50 |
| 5 | 33, 16, 67, 1, 25, 25 |
| 5 | 33, 16, 67, 1, 5, 5 |
| 33, 16, 67, 1, 1, 1 |
As all the numbers left in the last row are co primes you need not do the common division process further.
To obtain the Least Common Multiple, multiply the prime numbers with which you have divided the given numbers and the co primes in the last row i.e. 2 x 2 x 5 x 5 x 33 x 16 x 67 x 1 x 1 x 1 = 3537600
Therefore, LCM of 66,64,67,1,25,100 is 3537600
Step1:
Let's calculate the LCM of first two numbers
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(66, 64) = 2
LCM(66, 64) = ( 66 x 64 ) / 2
LCM(66, 64) = 4224 / 2
LCM(66, 64) = 2112
Step2:
Here we consider the LCM from the above i.e. 2112 as first number and the next as 67
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(2112, 67) = 1
LCM(2112, 67) = ( 2112 x 67 ) / 1
LCM(2112, 67) = 141504 / 1
LCM(2112, 67) = 141504
Step3:
Here we consider the LCM from the above i.e. 141504 as first number and the next as 1
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(141504, 1) = 1
LCM(141504, 1) = ( 141504 x 1 ) / 1
LCM(141504, 1) = 141504 / 1
LCM(141504, 1) = 141504
Step4:
Here we consider the LCM from the above i.e. 141504 as first number and the next as 25
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(141504, 25) = 1
LCM(141504, 25) = ( 141504 x 25 ) / 1
LCM(141504, 25) = 3537600 / 1
LCM(141504, 25) = 3537600
Step5:
Here we consider the LCM from the above i.e. 3537600 as first number and the next as 100
The formula of LCM is LCM(a,b) = ( a x b) / GCF(a,b)
GCF(3537600, 100) = 100
LCM(3537600, 100) = ( 3537600 x 100 ) / 100
LCM(3537600, 100) = 353760000 / 100
LCM(3537600, 100) = 3537600
LCM of 66,64,67,1,25,100 is 3537600
Fractions after converting to a common denominator
2144000/3537600,3648150/3537600,950400/3537600,14150400/3537600,1698048/3537600,247632/3537600
Arrange fractions in ascending order
247632/3537600 < 950400/3537600 < 1698048/3537600 < 2144000/3537600 < 3648150/3537600 < 14150400/3537600
Ascending Order arrangements from Least to Greatest we get:
7% < 18/67 < 0.48 < 40/66 < 66/64 < 4
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FAQs on 40/66,66/64,18/67,4,0.48,7% Ordering Fractions From Least to Greatest
1. What is the ascending order of 40/66,66/64,18/67,4,0.48,7% ?
The order of 40/66,66/64,18/67,4,0.48,7% from least to greatest is 7% < 18/67 < 0.48 < 40/66 < 66/64 < 4
2. How to Order 40/66,66/64,18/67,4,0.48,7% from least to greatest?
To order a given set of fractions 40/66,66/64,18/67,4,0.48,7% in ascending order from least to greatest, first, convert the mixed numbers to improper fractions and then find the LCD. Later, rewrite the equivalent fractions with the LCD and sort the list with the numerators of equivalent fractions to get final order of fractions ie., 7% < 18/67 < 0.48 < 40/66 < 66/64 < 4 .
3. How to Sort 40/66,66/64,18/67,4,0.48,7% list of fractions using a calculator?
Make use of the Ordering fractions calculator and enter the input set of fractions 40/66,66/64,18/67,4,0.48,7% and click on the calculate button to see the result ie., 7% < 18/67 < 0.48 < 40/66 < 66/64 < 4 .